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Finding the Third Proportional to 35,512,069.50 and 82,972,215

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Solution

The third proportional to 35,512,069.50 and 82,972,215 is: 193,860,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,512,069.50 : 82,972,215 = 82,972,215 : x
  2. Step 2: Convert to fraction form
    35,512,069.50/82,972,215 = 82,972,215/x
  3. Step 3: Cross multiply
    35,512,069.50x = 82,972,215 × 82,972,215
  4. Step 4: Simplify right side
    35,512,069.50x = 6,884,388,462,006,225
  5. Step 5: Solve for x
    x = 6,884,388,462,006,225/35,512,069.50
  6. Step 6: Final answer
    x = 193,860,525.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.